Table 1. Parametric (normally distributed) post-hoc analyses for ANOVA

Equality of variance Sample size Post-hoc analysis method
True Equal between groups TukeyDuncanR-E-G-W F (Ryan-Einot-Gabriel-Welsch F test)R-E-G-W Q (Ryan-Einot-Gabriel-Welsch range test)S-N-K(Student-Newman-Keuls)
Unequal between groups BonferroniSidakSchefféHochberg’s GT2Gabriel
False Equal or unequal between groups Games-HowellTamhane’s T2Dunnett’s T3Dunnett’s C